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Ranking and synchronization from pairwise measurements via SVD

Abstract:

Given a measurement graph $G= (V,E)$ and an unknown signal $r \in \mathbb{R}^n$, we investigate algorithms for recovering $r$ from pairwise measurements of the form $r_i - r_j$; $\{i,j\} \in E$. This problem arises in a variety of applications, such as ranking teams in sports data and time synchronization of distributed networks. Framed in the context of ranking, the task is to recover the ranking of $n$ teams (induced by $r$) given a small subset of noisy pairwise rank offsets. We propose a ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publication website:
https://jmlr.org/papers/v22/19-542.html

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Institution:
University of Oxford
Department:
STATISTICS
Sub department:
Statistics
Role:
Author
ORCID:
0000-0002-8464-2152
Publisher:
Journal of Machine Learning Research Publisher's website
Journal:
Journal of Machine Learning Research Journal website
Volume:
22
Issue:
19
Pages:
1−63
Publication date:
2021-02-21
Acceptance date:
2020-12-29
EISSN:
1533-7928
ISSN:
1532-4435
Language:
English
Keywords:
Pubs id:
1014947
Local pid:
pubs:1014947
Deposit date:
2021-01-16

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